Details

analyze338.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample80.0ms (1.3%)

Algorithm

1×

intervals

Results

50.0ms	136×	body	1024	valid
10.0ms	46×	body	512	valid
6.0ms	12×	body	2048	valid
6.0ms	44×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify237.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

58.3b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_419`
52×	`add-sqr-sqrt_binary64_441`
48×	`times-frac_binary64_425`
30×	`log-prod_binary64_505`
25×	`add-cube-cbrt_binary64_454`
18×	`difference-of-squares_binary64_388`
13×	`distribute-lft-out_binary64_370`
9×	`distribute-lft-out--_binary64_371`
7×	`add-exp-log_binary64_457`
6×	`associate-/r*_binary64_363`
4×	`associate-/r/_binary64_365` `add-cbrt-cube_binary64_455` `associate-/l*_binary64_364`
3×	`pow1_binary64_480`
2×	`add-log-exp_binary64_458` `rem-log-exp_binary64_460` `div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `div-exp_binary64_470` `associate-/l/_binary64_366`
1×	`flip3-+_binary64_422` `clear-num_binary64_418` `log-pow_binary64_508` `frac-2neg_binary64_430` `flip-+_binary64_393` `log-div_binary64_506` `cbrt-undiv_binary64_453`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series45.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
13.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5756	1898

prune124.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	5	98

Error

0.0b

Counts

98 → 5

Compiler

Compiled 1797 to 1436 computations (20.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_441`
15×	`associate-l_binary64_360`
13×	`add-exp-log_binary64_457`
10×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
8×	`unpow-prod-down_binary64_498`
7×	`unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
6×	`prod-exp_binary64_468`
5×	`add-log-exp_binary64_458`
4×	`sqr-pow_binary64_391` `cube-prod_binary64_447`
3×	`pow1_binary64_480`
2×	`cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-to-exp_binary64_488` `*-commutative_binary64_350`
1×	`flip3-+_binary64_422` `unpow3_binary64_485` `cube-mult_binary64_449` `sum-log_binary64_510` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

3 → 67

Calls

3 calls:

6.0ms	(*.f64 (pow.f64 x 3) 2/3)
5.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))

series144.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
31.0ms	(*.f64 2/5 (pow.f64 x 5))
24.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5097	898

prune96.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Error

0.0b

Counts

81 → 5

Compiler

Compiled 1739 to 1273 computations (26.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`*-un-lft-identity_binary64_419`
90×	`log-prod_binary64_505`
74×	`add-sqr-sqrt_binary64_441`
72×	`times-frac_binary64_425`
38×	`add-cube-cbrt_binary64_454`
24×	`difference-of-squares_binary64_388`
18×	`distribute-lft-out_binary64_370`
13×	`add-exp-log_binary64_457`
12×	`distribute-lft-out--_binary64_371`
8×	`pow1_binary64_480`
6×	`rem-log-exp_binary64_460` `associate-/r/_binary64_365`
4×	`add-log-exp_binary64_458` `cbrt-prod_binary64_450` `log-pow_binary64_508` `add-cbrt-cube_binary64_455`
3×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394` `log-div_binary64_506` `div-exp_binary64_470`
1×	`pow1/3_binary64_501`

Counts

4 → 135

Calls

4 calls:

8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

series147.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
32.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
28.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
28.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5000	3175

prune359.0ms (5.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	147	5	152

Error

0.0b

Counts

152 → 5

Compiler

Compiled 5806 to 4706 computations (18.9% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
6.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite58.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`*-un-lft-identity_binary64_419`
120×	`log-prod_binary64_505`
96×	`times-frac_binary64_425` `add-sqr-sqrt_binary64_441`
48×	`add-cube-cbrt_binary64_454`
32×	`difference-of-squares_binary64_388`
24×	`distribute-lft-out_binary64_370`
16×	`distribute-lft-out--_binary64_371` `add-exp-log_binary64_457`
8×	`rem-log-exp_binary64_460` `associate-/r/_binary64_365` `pow1_binary64_480`
4×	`add-log-exp_binary64_458` `div-inv_binary64_416` `flip3--_binary64_423` `log-pow_binary64_508` `add-cbrt-cube_binary64_455` `flip--_binary64_394` `log-div_binary64_506` `div-exp_binary64_470`

Counts

4 → 164

Calls

4 calls:

8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series115.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
27.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
27.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
26.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify112.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4820	3824
1	4820	3824

prune750.0ms (11.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	176	5	181

Error

0.0b

Counts

181 → 5

Compiler

Compiled 9260 to 7604 computations (17.9% saved)

regimes385.0ms (6%)

Accuracy

Total 0.2b remaining (96.4%)

Threshold costs 0.2b (96.4%)

Compiler

Compiled 2601 to 2236 computations (14% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample3.0s (47.1%)

Algorithm

1×

intervals

Results

1.5s	3920×	body	1024	valid
447.0ms	2046×	body	512	valid
229.0ms	412×	body	2048	valid
128.0ms	999×	body	256	valid
37.0ms	623×	body	128	valid

Compiler

Compiled 535 to 461 computations (13.8% saved)

Details

analyze338.0ms (5.3%)

sample80.0ms (1.3%)

simplify237.0ms (3.7%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite27.0ms (0.4%)

series45.0ms (0.7%)

simplify74.0ms (1.2%)

prune124.0ms (2%)

localize11.0ms (0.2%)

rewrite25.0ms (0.4%)

series144.0ms (2.3%)

simplify65.0ms (1%)

prune96.0ms (1.5%)

localize11.0ms (0.2%)

rewrite46.0ms (0.7%)

series147.0ms (2.3%)

simplify87.0ms (1.4%)

prune359.0ms (5.6%)

localize19.0ms (0.3%)

rewrite58.0ms (0.9%)

series115.0ms (1.8%)

simplify112.0ms (1.8%)

prune750.0ms (11.8%)

regimes385.0ms (6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (47.1%)

Profiling